void simplifyMesh(TriangleMesh &src, TriangleMesh &dst){
namespace SMS = CGAL::Surface_mesh_simplification;
Surface surface;
PolyhedronBuilder<HalfedgeDS> builder(src.points, src.facets);
surface.delegate(builder);
// --- before mesh simplification, to maintain mesh quality high poisson surface reconstruction is applied ---
// This is a stop predicate (defines when the algorithm terminates).
// In this example, the simplification stops when the number of undirected edges
// left in the surface drops below the specified number (1000)
// SMS::Count_stop_predicate<Surface> stop(3000);
//SMS::Count_ratio_stop_predicate<Surface> stop(0.1);
SMS::Count_stop_predicate<Surface> stop(100);
// This the actual call to the simplification algorithm.
// The surface and stop conditions are mandatory arguments.
// The index maps are needed because the vertices and edges
// of this surface lack an "id()" field.
int r = SMS::edge_collapse
(surface
,stop
,CGAL::vertex_index_map(boost::get(CGAL::vertex_external_index, surface))
.edge_index_map(boost::get(CGAL::edge_external_index, surface))
.get_cost(CGAL::Surface_mesh_simplification::Edge_length_cost<Polyhedron>())
.get_placement(CGAL::Surface_mesh_simplification::Midpoint_placement<Polyhedron>())
//.get_cost(CGAL::Surface_mesh_simplification::LindstromTurk_cost<Polyhedron>())
//.get_placement(CGAL::Surface_mesh_simplification::LindstromTurk_placement<Polyhedron>())
);
std::cout << "\nFinished...\n" << r << " edges removed.\n"
<< (surface.size_of_halfedges()/2) << " final edges.\n" ;
std::vector<Eigen::Vector3d> points;
std::vector<std::vector<int> > faces;
points.resize(surface.size_of_vertices());
faces.resize(surface.size_of_facets());
Polyhedron::Point_iterator pit;
int index = 0;
for(pit=surface.points_begin(); pit!=surface.points_end(); ++pit){
points[index][0] = pit->x();
points[index][1] = pit->y();
points[index][2] = pit->z();
index ++;
}
index = 0;
Polyhedron::Face_iterator fit;
for(fit=surface.facets_begin(); fit!=surface.facets_end(); ++fit){
std::vector<int > face(3);
Halfedge_facet_circulator j = fit->facet_begin();
int f_index = 0;
do {
face[f_index] = std::distance(surface.vertices_begin(), j->vertex());
f_index++;
} while ( ++j != fit->facet_begin());
faces[index] = face;
index++;
}
dst.createFromFaceVertex(points, faces);
}
void PoissonSurfaceReconstruction::reconstruct(std::vector<Eigen::Vector3d> &points, std::vector<Eigen::Vector3d> &normals, TriangleMesh &mesh){
assert(points.size() == normals.size());
std::cout << "creating points with normal..." << std::endl;
std::vector<Point_with_normal> points_with_normal;
points_with_normal.resize((int)points.size());
for(int i=0; i<(int)points.size(); i++){
Vector vec(normals[i][0], normals[i][1], normals[i][2]);
//Point_with_normal pwn(points[i][0], points[i][1], points[i][2], vec);
//points_with_normal[i] = pwn;
points_with_normal[i] = Point_with_normal(points[i][0], points[i][1], points[i][2], vec);
}
std::cout << "constructing poisson reconstruction function..." << std::endl;
Poisson_reconstruction_function function(points_with_normal.begin(), points_with_normal.end(),
CGAL::make_normal_of_point_with_normal_pmap(PointList::value_type()));
std::cout << "computing implicit function..." << std::endl;
if( ! function.compute_implicit_function() ) {
std::cout << "compute implicit function is failure" << std::endl;
return;
}
//return EXIT_FAILURE;
// Computes average spacing
std::cout << "compute average spacing..." << std::endl;
FT average_spacing = CGAL::compute_average_spacing(points_with_normal.begin(), points_with_normal.end(),
6 /* knn = 1 ring */);
// Gets one point inside the implicit surface
// and computes implicit function bounding sphere radius.
Point inner_point = function.get_inner_point();
Sphere bsphere = function.bounding_sphere();
FT radius = std::sqrt(bsphere.squared_radius());
// Defines the implicit surface: requires defining a
// conservative bounding sphere centered at inner point.
FT sm_sphere_radius = 5.0 * radius;
FT sm_dichotomy_error = distance_criteria*average_spacing/1000.0; // Dichotomy error must be << sm_distance
//FT sm_dichotomy_error = distance_criteria*average_spacing/10.0; // Dichotomy error must be << sm_distance
std::cout << "reconstructed surface" << std::endl;
Surface_3 reconstructed_surface(function,
Sphere(inner_point,sm_sphere_radius*sm_sphere_radius),
sm_dichotomy_error/sm_sphere_radius);
// Defines surface mesh generation criteria
CGAL::Surface_mesh_default_criteria_3<STr> criteria(angle_criteria, // Min triangle angle (degrees)
radius_criteria*average_spacing, // Max triangle size
distance_criteria*average_spacing); // Approximation error
std::cout << "generating surface mesh..." << std::endl;
// Generates surface mesh with manifold option
STr tr; // 3D Delaunay triangulation for surface mesh generation
C2t3 c2t3(tr); // 2D complex in 3D Delaunay triangulation
CGAL::make_surface_mesh(c2t3, // reconstructed mesh
reconstructed_surface, // implicit surface
criteria, // meshing criteria
CGAL::Manifold_tag()); // require manifold mesh
if(tr.number_of_vertices() == 0){
std::cout << "surface mesh generation is failed" << std::endl;
return;
}
Polyhedron surface;
CGAL::output_surface_facets_to_polyhedron(c2t3, surface);
// convert CGAL::surface to TriangleMesh //
std::cout << "converting CGA::surface to TriangleMesh..." << std::endl;
std::vector<Eigen::Vector3d> pts;
std::vector<std::vector<int> > faces;
pts.resize(surface.size_of_vertices());
faces.resize(surface.size_of_facets());
Polyhedron::Point_iterator pit;
int index = 0;
for(pit=surface.points_begin(); pit!=surface.points_end(); ++pit){
pts[index][0] = pit->x();
pts[index][1] = pit->y();
pts[index][2] = pit->z();
index ++;
}
index = 0;
Polyhedron::Face_iterator fit;
for(fit=surface.facets_begin(); fit!=surface.facets_end(); ++fit){
std::vector<int > face(3);
Halfedge_facet_circulator j = fit->facet_begin();
int f_index = 0;
do {
face[f_index] = std::distance(surface.vertices_begin(), j->vertex());
f_index++;
} while ( ++j != fit->facet_begin());
faces[index] = face;
index++;
}
mesh.createFromFaceVertex(pts, faces);
}